### About Factoring Trinomials Part 1:

When we factor a trinomial with a leading coefficient of 1, we reverse the FOIL process. Write two sets of parentheses and start with the first spots: if we see x^{2}, we know that is produced by x • x. We then find the last positions from two integers whose sum is b and whose product is c.

Test Objectives

- Demonstrate a general understanding of factoring a trinomial
- Demonstrate the ability to find two integers whose sum is b and whose product is c
- Demonstrate the ability to factor a trinomial into the product of two binomials

#1:

Instructions: Factor each.

a) v^{2} + 11v + 30

b) x^{2} - 3x - 4

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#2:

Instructions: Factor each.

a) x^{2} - 4x - 28

b) x^{2} + 15x + 44

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#3:

Instructions: Factor each.

a) 2x^{2} + 16x + 24

b) 3m^{2} - 18m - 81

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#4:

Instructions: Factor each.

a) 2x^{2} + 14xy - 36y^{2}

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#5:

Instructions: Factor each.

a) 6x^{2} + 36xy + 30y^{2}

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Written Solutions:

#1:

Solutions:

a) (v + 5)(v + 6)

b) (x - 4)(x + 1)

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#2:

Solutions:

a) prime

b) (x + 4)(x + 11)

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#3:

Solutions:

a) 2(x + 6)(x + 2)

b) 3(m + 3)(m - 9)

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#4:

Solutions:

a) 2(x + 9y)(x - 2y)

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#5:

Solutions:

a) 6(x + 5y)(x + y)